A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 13
... origin , these expressions are + and 2r0 . 11. The expressions for radial and transversal accelera- tions may otherwise be obtained in the following manner . Since x = r cos 0 , and y = r sin 0 , we obtain = ( i — r0 ) cos 0 — ( rÜ + ...
... origin , these expressions are + and 2r0 . 11. The expressions for radial and transversal accelera- tions may otherwise be obtained in the following manner . Since x = r cos 0 , and y = r sin 0 , we obtain = ( i — r0 ) cos 0 — ( rÜ + ...
Página 14
... origin . P ' P N x = Taking Ox , Oy as the position of the axes at the time t , and Ox ' , Öy ' at the time t + dt , let x = ON , y = PN , mark the position of the moving point P at the time t , and x + dx = ON ' , and y + dy = P'N ...
... origin . P ' P N x = Taking Ox , Oy as the position of the axes at the time t , and Ox ' , Öy ' at the time t + dt , let x = ON , y = PN , mark the position of the moving point P at the time t , and x + dx = ON ' , and y + dy = P'N ...
Página 20
... article . 20. Component velocities and component accelerations of a moving point referred to two axes turning round the origin in any given manner . P F E x X Let and be the inclinations , at any instant , 20 PHORONOMY .
... article . 20. Component velocities and component accelerations of a moving point referred to two axes turning round the origin in any given manner . P F E x X Let and be the inclinations , at any instant , 20 PHORONOMY .
Página 41
... origin is constant , and the rate of change of acceleration ' is directed wholly along the radius vector , prove that der = frw2 . dt2 16. A point P moves with uniform velocity in a circle ; Q is a point in the same radius at double the ...
... origin is constant , and the rate of change of acceleration ' is directed wholly along the radius vector , prove that der = frw2 . dt2 16. A point P moves with uniform velocity in a circle ; Q is a point in the same radius at double the ...
Página 43
... origin in such a way that the line joining the origin to the particle is equally inclined at an angle to the axes , shew that the component acceleration parallel to the fixed axis ( § ) is § — ( 2έ0 + §¤ ) cosec 0 . What is the other ...
... origin in such a way that the line joining the origin to the particle is equally inclined at an angle to the axes , shew that the component acceleration parallel to the fixed axis ( § ) is § — ( 2έ0 + §¤ ) cosec 0 . What is the other ...
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Términos y frases comunes
acting forces action angular momentum axes ball body centre of force centre of gravity chain circle circular component constant coordinates cos² curve cycloid described determine the motion diameter direction of motion disc distance ds ds Edition elastic string ellipse equal equations of motion equilibrium Fcap fixed point given h₁ heavy particle Hence hodograph horizontal plane hyperbola impulses inclination initial instant kinetic energy latus rectum mass moment of inertia momenta natural length normal obtain orbit parabola particle moves path perpendicular point moves position prove radius of curvature radius vector relative revolve ring rotation shew sin² smooth horizontal plane sphere straight line surface Taking tangent tension time-flux tube uniform angular velocity uniformly vertex vertical plane weight
Pasajes populares
Página 48 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.